Nonlinear response and fluctuation-dissipation relations.
Nonlinear response and fluctuation-dissipation relations.
复制标题
非线性响应和波动耗散关系。
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
M. Zannetti
中科院分区：
文献类型：
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作者：
E. Lippiello;F. Corberi;A. Sarracino;M. Zannetti
在马尔可夫随机动力学的框架内，给出了伊辛和连续自旋到任意阶的非平衡涨落耗散关系（FDR）的统一推导。FDR的知识允许开发零场算法的响应函数的有效数值计算。两个应用程序。在第一个中，探测的存在下，一个不断增长的合作的长度尺度的问题被认为是在这些情况下，如在玻璃系统中，线性FDR是没有用的。适当的二阶FDR的有效性示出在一维和二维的爱德华-安德森自旋玻璃的测试情况下。在第二个应用中，考虑了通过非线性FDR定义非平衡有效温度的重要问题。结果表明，在粗化系统的情况下，由二阶FDR得到的有效温度与由线性FDR得到的有效温度是一致的。
A unified derivation of the off-equilibrium fluctuation dissipation relations (FDRs) is given for Ising and continuous spins to arbitrary order, within the framework of Markovian stochastic dynamics. Knowledge of the FDRs allows one to develop zero field algorithms for the efficient numerical computation of the response functions. Two applications are presented. In the first one, the problem of probing for the existence of a growing cooperative length scale is considered in those cases, like in glassy systems, where the linear FDR is of no use. The effectiveness of an appropriate second order FDR is illustrated in the test case of the Edwards-Anderson spin glass in one and two dimensions. In the second application, the important problem of the definition of an off-equilibrium effective temperature through the nonlinear FDR is considered. It is shown that, in the case of coarsening systems, the effective temperature derived from the second order FDR is consistent with the one obtained from the linear FDR.